The median of the data 10, 15, x, 25, 30 is 20. Find x.
20
The data 10, 15, x, 25, 30 has 5 values, and it is already arranged with x in the middle position, between 15 and 25.
For 5 values arranged in order, the median is the 3rd (middle) value, which here is x.
Since the median is given as 20, x must be 20, and this value fits consistently between 15 and 25 in ascending order (10, 15, 20, 25, 30).
The mean of 10 observations is 25. If one observation is removed, mean becomes 24. Find removed value.
A bowler has taken wickets : 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1, 2. Find mode.
If the mean of the data is 11, find Z : 3, 21, 10, 7, 6, 9, (Z + 6), 15, 20
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is
The ‘less than’ ogive curve and the ‘more than’ ogive curve intersect at
The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to ?
The mean of the series x 1, x 2… x nis X̅. If x 2 is replaced by λ, then what is the new mean?
The mean of a group of 100 observations was found to be 20. Later it was found that four observations were incorrect, which were recorded as 21, 21, 18 and 20. What is the mean if the incorrect observations are omitted?